I generated a 2d Gaussian noise then modulated it with a 2d cosine (f(x,y)=cos(2*pi/N*a*x)) witch oscillate only with the x direction and "a" is the frequency.
In a nutshell
N: Gaussian Noise size N*N
P: f(x,y)=cos(2*pi/N*a*x) a: frequency
after i take the Fourier transform of I, frequency pairs at offset (u,v) and (u+2a,v) have correlated phase.
If i do the experiment with another noise for example uniform noise (in Matlab: rand(N,N)) and then modulate it with the same cosine there
is no such correlations.
I want to what property of Gaussian noise cause this correlations?
Thank u all for help in advance.